Existence and stability analysis of solitary waves in a tricrystal junction

H. Susanto; S. A. Van Gils

doi:10.1016/j.physleta.2005.02.058

Existence and stability analysis of solitary waves in a tricrystal junction

H. Susanto, S. A. Van Gils

Mathematics

University of Twente

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We consider a tricrystal junction, i.e., a system of three long Josephson junctions coupled at a common end point. The system admits solitary waves sitting at or near the common point. Especially when one of the junctions is a π-junction, there is a solitary wave created at the branch point. The stability and the dynamics of all existing solitary waves of the time-independent system are studied analytically and numerically. The present study is of interest also for experimentalists since the system is a base for a network of transmission lines.

Original language	British English
Pages (from-to)	239-246
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	338
Issue number	3-5
DOIs	https://doi.org/10.1016/j.physleta.2005.02.058
State	Published - 2 May 2005

Keywords

Fluxons
Long Josephson junctions
Sine-Gordon equation
Tricrystal junctions

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10.1016/j.physleta.2005.02.058

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title = "Existence and stability analysis of solitary waves in a tricrystal junction",

abstract = "We consider a tricrystal junction, i.e., a system of three long Josephson junctions coupled at a common end point. The system admits solitary waves sitting at or near the common point. Especially when one of the junctions is a π-junction, there is a solitary wave created at the branch point. The stability and the dynamics of all existing solitary waves of the time-independent system are studied analytically and numerically. The present study is of interest also for experimentalists since the system is a base for a network of transmission lines.",

keywords = "Fluxons, Long Josephson junctions, Sine-Gordon equation, Tricrystal junctions",

author = "H. Susanto and {Van Gils}, {S. A.}",

note = "Funding Information: H.S. thanks A. Doelman and T.P.P. Visser for many illuminating discussions and B.J. Geurts for explanations on numerical schemes. This work is supported by the Royal Netherlands Academy of Arts and Sciences (KNAW). ",

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AU - Susanto, H.

AU - Van Gils, S. A.

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PY - 2005/5/2

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N2 - We consider a tricrystal junction, i.e., a system of three long Josephson junctions coupled at a common end point. The system admits solitary waves sitting at or near the common point. Especially when one of the junctions is a π-junction, there is a solitary wave created at the branch point. The stability and the dynamics of all existing solitary waves of the time-independent system are studied analytically and numerically. The present study is of interest also for experimentalists since the system is a base for a network of transmission lines.

AB - We consider a tricrystal junction, i.e., a system of three long Josephson junctions coupled at a common end point. The system admits solitary waves sitting at or near the common point. Especially when one of the junctions is a π-junction, there is a solitary wave created at the branch point. The stability and the dynamics of all existing solitary waves of the time-independent system are studied analytically and numerically. The present study is of interest also for experimentalists since the system is a base for a network of transmission lines.

KW - Fluxons

KW - Long Josephson junctions

KW - Sine-Gordon equation

KW - Tricrystal junctions

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DO - 10.1016/j.physleta.2005.02.058

M3 - Article

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VL - 338

SP - 239

EP - 246

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3-5

ER -

Existence and stability analysis of solitary waves in a tricrystal junction

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Keywords

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